Perfect teleportation with a partially entangled quantum channel

TL;DR

This paper proposes a scheme for perfect quantum teleportation using a high-dimensional, partially entangled channel, highlighting the trade-off between entanglement and classical communication.

Contribution

It introduces a new teleportation scheme that requires less entanglement but more classical bits, revealing a complementary relationship between these resources.

Findings

Scheme achieves perfect teleportation with less entanglement

Classical bits increase with entanglement in the scheme

Resources are complementary for successful teleportation

Abstract

Quantum teleportation provides a way to transfer unknown quantum states from one system to another via an entangled state as a quantum channel without physical transmission of the object itself. The entangled channel, measurement performed by the sender (Alice), and classical information sent to the receiver (Bob) are three key ingredients in the procedure, which need to cooperate with each other. To study the relationship among the three parts, we propose a scheme for perfect teleportation of a qubit through a high-dimensional quantum channel in a pure state with two equal largest Schmidt coefficients. The scheme requires less entanglement of Alice's measurement but more classical bits than the original scheme via a Bell state. The two quantities increase with the entanglement of the quantum channel when its dimension is fixed and thereby can be regard as Alice's necessary capabilities to use the quantum channel. And the two capabilities appear complementary to each other.